Question 848204
If Charles and Michael stand next to each other there are 8 * 2 ways or 16. You can see this by first treating Michael and Charles as one entity. So we have 8 objects to order. We have 8 ways to order Michael and Charles as one entity. Then since order matters, we have 2 ways to order Michael and Charles within their group.

Now of the remaining 7 there is 7! ways to arrange the other hall of famers.

So we get 16 * 7! = 80640